x^2(z)=x^2(10y+6)

Solution for x^2(z)=x^2(10y+6) equation:

Simplifying
x2(z) = x2(10y + 6)

Multiply x2 * z
x2z = x2(10y + 6)

Reorder the terms:
x2z = x2(6 + 10y)
x2z = (6 * x2 + 10y * x2)
x2z = (6x2 + 10x2y)

Solving
x2z = 6x2 + 10x2y

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x2' to each side of the equation.
-6x2 + x2z = 6x2 + -6x2 + 10x2y

Combine like terms: 6x2 + -6x2 = 0
-6x2 + x2z = 0 + 10x2y
-6x2 + x2z = 10x2y

Add '-10x2y' to each side of the equation.
-6x2 + -10x2y + x2z = 10x2y + -10x2y

Combine like terms: 10x2y + -10x2y = 0
-6x2 + -10x2y + x2z = 0

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-6 + -10y + z) = 0

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x2 = 0

Take the square root of each side:
x = {0}
Subproblem 2
Set the factor '(-6 + -10y + z)' equal to zero and attempt to solve:

Simplifying
-6 + -10y + z = 0

Solving
-6 + -10y + z = 0

Move all terms containing x to the left, all other terms to the right.

Add '6' to each side of the equation.
-6 + -10y + 6 + z = 0 + 6

Reorder the terms:
-6 + 6 + -10y + z = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -10y + z = 0 + 6
-10y + z = 0 + 6

Combine like terms: 0 + 6 = 6
-10y + z = 6

Add '10y' to each side of the equation.
-10y + 10y + z = 6 + 10y

Combine like terms: -10y + 10y = 0
0 + z = 6 + 10y
z = 6 + 10y

Add '-1z' to each side of the equation.
z + -1z = 6 + 10y + -1z

Combine like terms: z + -1z = 0
0 = 6 + 10y + -1z

Simplifying
0 = 6 + 10y + -1z

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}